1. A share of common stock just paid a dividend of $1.00. If the expected long-run growth rate for this stock is 5.4%, and if investors’ required rate of return is 11.4%, what is the stock price? 2. A stock will pay a dividend of $1.50 this year. The required rate of return is r = 10.1%, and the constant growth rate is g = 4.0%. What is the current stock price? 3. Francis Inc.’s stock has a required rate of return of 10.25%, and it sells for $57.50 per share. The dividend is expected to grow at a constant rate of 6.00% per year. What is the expected year-end dividend, D1? 4. Sorenson Corp.’s expected year-end dividend is D1 = $1.60, its required return is r = 11.00%, its dividend yield is 6.00%, and its growth rate is expected to be constant in the future. What is Sorenson’s expected stock price in 7 years, i.e., what is P7? 5. Church Inc. is presently enjoying relatively high growth because of a surge in the demand for its new product. Management expects sales and dividends to grow at a rate of 25% for the next 4 years, after which competition will probably reduce the growth rate in sales and dividends to zero, i.e., g = 0. The company’s last dividend, D0, was $1.25, required rate of return on the stock is 9.60%. What is the current price of the common stock? 6. (Extra Credit). Nachman Industries just paid a dividend of D0 = $1.32. Analysts expect the company’s dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in Year 3 and thereafter. The required return on this stock is 9.00%. What is the best estimate of the stock’s current market value?
ANSWER WITH AT LEAST 100 WORDS. Thompsen Enterprises is a rapidly growing firm that reinvests all of its income into future projects. Thus, the firm does not pay any dividends, nor does it intend to do so any time in the future. Explain how and why the dividend growth model can or cannot be used to value the stock of this firm.
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